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Applied Crypto - Math basics
... polynomials with coefficients modulo 2 whose degree is less than n hence must reduce modulo an irreducible poly of degree n (for multiplication only) ...
... polynomials with coefficients modulo 2 whose degree is less than n hence must reduce modulo an irreducible poly of degree n (for multiplication only) ...
Modulo a Prime Number
... Appendix: Modular Arithmetic is Well-defined. In our earlier definition of addition, subtraction, multiplication and powers in modular arithmetic a subtle check was omitted. Modular arithmetic is about the addition (etc.) of remainders. When we write 1×1 = 1 (mod 2), we are saying that multiplying ...
... Appendix: Modular Arithmetic is Well-defined. In our earlier definition of addition, subtraction, multiplication and powers in modular arithmetic a subtle check was omitted. Modular arithmetic is about the addition (etc.) of remainders. When we write 1×1 = 1 (mod 2), we are saying that multiplying ...
MAT 102 – A Survey of Contemporary Topics in Mathematics
... A number of the form , where is prime, is called a Mersenne number – named after Marin Mersenne, a French monk of the 17th century. If for some prime the number is also prime, then it is called a Mersenne prime. Find the smallest Mersenne number that is composite. ...
... A number of the form , where is prime, is called a Mersenne number – named after Marin Mersenne, a French monk of the 17th century. If for some prime the number is also prime, then it is called a Mersenne prime. Find the smallest Mersenne number that is composite. ...